Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×Q8×#11719912 |
| Fitting | C2×C8×Q8×C53 ⋊ C2 |
| Sylow | C53 ⋊ C2×Q8×M16 |
2154 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6784 |
2180 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1033952);